Question

A rectangle has a length 2 m less than twice its width. When 3 m are added to the width, the resulting figure is a square

with an area of 64 m².
Find the dimensions of the original rectangle.

The length of the original rectangle is ?
and its width is ?

Answer 1

l=8m and width(b)=5m

Step by step explanation:

Let l be the length of the rectangle.

Let b be the width of the rectangle.

`l=2b-2--(2)\\b+3=l(Since,l=b)--(1)\\(2)=(1):\\\\2b-2=b+3\\b=5\\l=b+3\\=8`